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Home » From Farm to Trash: The Unsettling Truth About the Rotten Tomato You’re Eating! - Londonproperty

From Farm to Trash: The Unsettling Truth About the Rotten Tomato You’re Eating! - Londonproperty

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 So \( b = 7c + 3 \), then:

📌 N = 20(7c + 3) + 7 = 140c + 60 + 7 = 140c + 67

📌 Smallest positive \( N \) when \( c = 0 \): \( N = 67 \)

📌 Check all conditions:

📌 \( 67 \div 4 = 16 \times 4 = 64 \), remainder 3 → ✓

📌 \( 67 \div 5 = 13 \times 5 = 65 \), remainder 2 → ✓

📌 \( 67 \div 7 = 9 \times 7 = 63 \), remainder 4 → ✓

📌 Thus, the smallest such \( N \) is:

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100^2 = 5200 + 2xy
= 5200 + 2xy
2xy = 4800 \quad \Rightarrow \quad xy = 2400
Now, we use another identity for cubes:
We already know \( x + y = 100 \), \( x^2 + y^2 = 5200 \), and \( xy =...
x^2 - xy + y^2 = 5200 - 2400 = 2800
x^3 + y^3 = 100 \times 2800 = 280000
\boxed{280000}
### Question:
An elementary school student is exploring STEM activities and learns t...

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